A horizontal circular plate is rotating about a vertical axis passing through its centre with an angular velocity ω0. A man sitting at the centre having two blocks in his hands stretches out his hands so that the moment of inertia of the system doubles. If the kinetic energy of the system is K initially, its final kinetic energy will be

Engineering

Physics

Conservation of Angular Momentum

Question

A horizontal circular plate is rotating about a vertical axis passing through its centre with an angular velocity ω₀. A man sitting at the centre having two blocks in his hands stretches out his hands so that the moment of inertia of the system doubles. If the kinetic energy of the system is K initially, its final kinetic energy will be

K/4

K/2

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I₁ω₁ = I₂ω₂ ⟹ I₂ = 2I₁ ⟹ ω₂ = $\frac{ω_{1}}{2}$
⟹ K₂ = $\frac{K_{1}}{2}$

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